A-LevelMathematicsMechanics9709/43 · May/June 2018 · Q25 Marks
A small ball is projected vertically downwards with speed 5 m s⁻¹ from a point A at a height of 7.2 m above horizontal ground. The ball hits the ground with speed V m s⁻¹ and rebounds vertically upwards with speed ⅓V m s⁻¹. The highest point the ball reaches after rebounding is B. Find V and hence find the total time taken for the ball to reach the ground from A and rebound to B.
- A small ball is projected vertically downwards with speed 5 m s⁻¹ from a point A at a height of 7.2 m above horizontal ground. The ball hits the ground with speed V m s⁻¹ and rebounds vertically upwards with speed ⅓V m s⁻¹. The highest point the ball reaches after rebounding is B. Find V and hence find the total time taken for the ball to reach the ground from A and rebound to B.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] [V² = 5² + 2x g × 7.2 ] Use of uvast to find V
- [A1] V = 13
- [M1] [13 = 5 + gt t = .....] Use of uvast to find time for A to reach ground
- [M1] [0 = 6.5-gt t = .....] Use of uvast to find time from ground to B
- [A1] Total time is 1.45 (s)
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